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| 1 # Copyright (c) 2011 Google Inc. All rights reserved. | |
| 2 # | |
| 3 # Redistribution and use in source and binary forms, with or without | |
| 4 # modification, are permitted provided that the following conditions are | |
| 5 # met: | |
| 6 # | |
| 7 # * Redistributions of source code must retain the above copyright | |
| 8 # notice, this list of conditions and the following disclaimer. | |
| 9 # * Redistributions in binary form must reproduce the above | |
| 10 # copyright notice, this list of conditions and the following disclaimer | |
| 11 # in the documentation and/or other materials provided with the | |
| 12 # distribution. | |
| 13 # * Neither the name of Google Inc. nor the names of its | |
| 14 # contributors may be used to endorse or promote products derived from | |
| 15 # this software without specific prior written permission. | |
| 16 # | |
| 17 # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | |
| 18 # "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | |
| 19 # LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | |
| 20 # A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT | |
| 21 # OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | |
| 22 # SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT | |
| 23 # LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, | |
| 24 # DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY | |
| 25 # THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | |
| 26 # (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE | |
| 27 # OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
| 28 | |
| 29 from array import array | |
| 30 | |
| 31 | |
| 32 def edit_distance(str1, str2): | |
| 33 unsignedShort = 'h' | |
| 34 distances = [array(unsignedShort, (0,) * (len(str2) + 1)) for i in range(0,
len(str1) + 1)] | |
| 35 # distances[0][0] = 0 since distance between str1[:0] and str2[:0] is 0 | |
| 36 for i in range(1, len(str1) + 1): | |
| 37 distances[i][0] = i # Distance between str1[:i] and str2[:0] is i | |
| 38 | |
| 39 for j in range(1, len(str2) + 1): | |
| 40 distances[0][j] = j # Distance between str1[:0] and str2[:j] is j | |
| 41 | |
| 42 for i in range(0, len(str1)): | |
| 43 for j in range(0, len(str2)): | |
| 44 diff = 0 if str1[i] == str2[j] else 1 | |
| 45 # Deletion, Insertion, Identical / Replacement | |
| 46 distances[i + 1][j + 1] = min(distances[i + 1][j] + 1, distances[i][
j + 1] + 1, distances[i][j] + diff) | |
| 47 return distances[len(str1)][len(str2)] | |
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